Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice

Abstract

Motivated by recent experiments on Ba3NiSb2O9, we investigate possible quantum spin liquid ground states for spin S=1 Heisenberg models on the triangular lattice. We use Variational Monte Carlo techniques to calculate the energies of microscopic spin liquid wave functions where spin is represented by three flavors of fermionic spinon operators. These energies are compared with the energies of various competing three-sublattice ordered states. Our approach shows that the antiferromagnetic Heisenberg model with biquadratic term and single-ion anisotropy does not have a low-temperature spin liquid phase. However, for an SU(3)-invariant model with sufficiently strong ring-exchange terms, we find a paired chiral quantum spin liquid with a Fermi surface of deconfined spinons that is stable against all types of ordering patterns we considered. We discuss the physics of this exotic spin liquid state in relation with the recent experiment and suggest new ways to test this scenario.

18 pages, 6 figures; replaced with published version

References in corpus (40)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Quantum Orders and Symmetric Spin Liquids
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Theory of Thermal Hall Effect in Quantum Magnets
• The Physics Behind High-Temperature Superconducting Cuprates: The "Plain Vanilla" Version Of RVB
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• The spin quantum Hall effect in unconventional superconductors
• Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• On edge states in superconductor with time inversion symmetry breaking
• Efficient numerical computation of the Pfaffian for dense and banded skew-symmetric matrices
• Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• High pressure sequence of Ba_3NiSb_2O_9 structural phases: new $S=1$ quantum spin-liquids based on Ni^{2+}
• Pfaffian pairing wave functions in electronic structure quantum Monte Carlo
• Pfaffian pairing and backflow wave functions for electronic structure quantum Monte Carlo methods
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Theory of Asymmetric Tunneling in the cuprate superconductors
• From Neel long-range order to spin-liquids in the multiple-spin exchange model
• Microscopic origin of isotropic non-Heisenberg behavior in highly correlated systems
• Magnetism and superconductivity of strongly correlated electrons on the triangular lattice
• Spin Liquid Phases for Spin-1 systems on the Triangular lattice
• Exotic S=1 spin liquid state with fermionic excitations on triangular lattice
• Grand canonical Gutzwiller approximation for magnetic inhomogeneous systems
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Possibility of S=1 spin liquids with fermionic spinons on triangular lattices
• Frustrated quantum critical theory of putative spin-liquid phenomenology in 6H-B-Ba3NiSb2O9
• Fractional spin liquid hierarchy for spin S antiferromagnets
• Gutzwiller Projected wavefunctions in the fermonic theory of S=1 spin chains
• Particle number renormalization in almost half filled Mott Hubbard superconductors
• Quasiparticle spectral weights of Gutzwiller-projected high T_c superconductors
• Swapping and permutation operators as entanglement witnesses for quantum Heisenberg spin-$s$ systems
• The degenerate 3-band Hubbard model with "anti-Hund's rule" interactions; a model for AxC60

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• Electrical transport and magnetic properties of the triangular-lattice compound Zr${}_2$NiP${}_2$
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